Question

In an office 30% of the employes are nummarried , 20% of these employees are post-graduates. The number of married employees in the office who are post-graduates is `3.(1)/(2)` times that of the unmarried employees who are post-graduates. What percentage of the married employees are post-graduates?
A. `30%`
B. `32%`
C. `30%`
D. `27%`

Answer 1

Correct Answer - C
Let the total number of employess be 100x
The number of unmarried employess `=(30)/(100)(100x)`
`=30x`
the number of unmarried post-graduates `=(20)/(100)(30x) =6x`
the number of married post- graduates
`=(3.(1)/(2)) (6x) =21x`
The number of married employess =100x -30x =70x
The required percentage `=(21x)/(70x) (100%) =30%`